Ultrasonic propagation in cancellous bone: A new stratified model

Ultrasound in Medicine and Biology

Volumn 25, Issue 5, 1999, Pages 811-821

  Hughes, Elinor Ruth ^a   Leighton, Timothy Grant ^a   Petley, Graham William ^b   White, Paul Robert ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY HOSPITAL SOUTHAMPTON NHS FOUNDATION TRUST   (United Kingdom)

Author keywords

Biot's theory; Cancellous bone; Osteoporosis; Schoenberg's theory; Stratified model; Ultrasound

Indexed keywords

ACOUSTIC PROPERTIES; ATTENUATION; BONE; DIAGNOSIS; DISEASES; MATHEMATICAL MODELS; MICROSTRUCTURE; NUMERICAL METHODS; ULTRASONIC VELOCITY; ULTRASONICS;

BIOT THEORY; CANCELLOUS BONE; OSTEOPOROSIS; SCHOENBERG THEORY; STRATIFIED MODEL;

ULTRASONIC PROPAGATION;

ANISOTROPY; ARTICLE; BONE STRUCTURE; CANCELLOUS BONE; MATHEMATICAL ANALYSIS; MODEL; NONHUMAN; OSTEOPOROSIS; PRIORITY JOURNAL; SOUND TRANSMISSION; THEORY; ULTRASOUND;

EID: 0032971721     PISSN: 03015629     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-5629(99)00034-4     Document Type: Article

References (38)

1. Abendschein W., Hyatt G.W. Ultrasonic and selected physical properties of bone. Clin Orthopaed Related Res. 69:1970;294-301.
2. Alves J.M., Ryaby J.T., Kaufmann J.J., Magee F.P., Siffert R.S. Influence of marrow on ultrasonic velocity and attenuation in bovine bone. Calcif Tissue Int. 58:1996;362-367.
3. Berryman J.G. Confirmation of Biot's theory. Appl Phys Lett. 37:1980;382-384.
4. Biot M.A. Theory of propagation of elastic waves in a fluid saturated porous solid. I. Low frequency range. J Acoust Soc Am. 28:1956;168-178.
5. Biot M.A. Theory of propagation of elastic waves in a fluid saturated porous solid, II. High frequency range. J Acoust Soc Am. 28:1956;179-191.
6. Bryant J.D., David T., Gaskell P.H., King S., Lond G. Rheology of bovine bone marrow. Proc Instn Mech Eng. 203:1989;71-75.
7. Carter D.R., Hayes W.C. Compressive behaviour of bone as a 2-phase porous structure. J Bone Joint Surg. 59:1977;954-962.
8. Diagnosis, prophylaxis, and treatment of osteoporosis. Am J Med. 94:1993;646-650.
9. Duck F.A. Physical properties of tissue - A comprehensive reference book. 1990;Academic Press, Cambridge.
10. Evans J.A., Tavakoli M.B. Temperature and direction dependence of the attenuation and velocity of ultrasound in cancellous and cortical bone. Ring E.F.J. Current research in osteo bone mineral measurement. 1992;Brit Inst Radiol, Huddersfield, UK.
11. Gibson L.J. The mechanical behaviour of cancellous bone. J Biomech. 18:1985;317-328.
12. Gibson L.J., Ashby M. Cancellous bone, cellular solids - structure and properties. 1988;316-331 Pergamon Press, Oxford.
13. Hosokawa A., Otani T. Ultrasonic wave propagation in bovine cancellous bone. J Acoust Soc Am. 101:1997;558-562.
14. Hosokawa A., Otani T. Acoustic anisotropy in bovine cancellous bone. J Acoust Soc Am. 103:1998;2718-2722.
15. Hubbuck ER, Leighton TG, White PR, Petley GW. A theoretical study into factors affecting the Biot slow wave in cancellous bone. ISVR Techn Rep 271, 1998.
16. Johnson D.L., Koplik J., Dashen R. Theory of dynamic permeability and tortuosity in fluid-saturated porous media. J. Fluid Dynamics. 176:1987;379-402.
17. Lakes R.S., Yoon H.S., Katz J.L. Slow compressional wave propagation in wet human and bovine cortical bone. Science. 220:1983;513-515.
18. Lang S. Ultrasonic method for measuring elastic coefficients of bone and results on fresh and dried bovine bones. IEEE Trans Biomed Eng. 17:1970;101-105.
19. Langton C.M., Palmer S.B., Porter R.W. The measurement of broadband ultrasonic attenuation in cancellous bone. Eng Med. 13:1984;89-91.
20. Lauriks W., Thoen J., Van Asbroek I., Lowet G., Van der perre G. Propagation of ultrasonic pulses through trabecular bone. J Phys. 4:1994;1255-1258.
21. Lawrence D.E.P., Don C.G. Impulse measurements of impedance and propagation constant compared to rigid-frame and dual-wave predictions for foam. J Acoust Soc Am. 97:1996;1477-1485.
22. McKelvie M.L., Palmer S.B. The interactions of ultrasound with cancellous bone. Phys Med Biol. 36:1991;1331-1340.
23. Mellish R.W.E., Garrahan N.J., Compston J.E. Age-related changes in trabecular width and spacing in human iliac crest biopsies. Bone Min. 6:1989;331-338.
24. National Osteoporosis Society. The use of quantitative ultrasound in the management of osteoporosis. Position Statement of the Scientific Advisory Committee, 16 October 1996.
25. Nicholson P.H.F., Haddaway M.J., Davie M.W.J. The dependence of ultrasonic properties on orientation in human vertebrae. Phys Med Biol. 39:1994;1013-1024.
26. Nicholson P.H.F., Lowet G., Langton C.M., Dequeker J., Van der Perre G. A comparison of time-domain and frequency-domain approaches to ultrasonic velocity measurement in trabecular bone. Phys Med Biol. 41:1996;2421-2435.
27. Petley G.W., Robins P.A., Aindow J.D. Broadband ultrasonic attenuation - Are current measurement techniques inherently inaccurate? J Radiol. 39:1995;1013-1024.
28. Plona T.J., Winkler K.W., Schoenberg M. Acoustic waves in alternating fluid/solid layers. J Acoust Soc Am. 81:1987;1227-1234.
29. Rho J.Y. Ultrasonic characterisation in determining elastic modulus of trabecular bone material. Med Biol Eng Computing. 36:1998;57-59.
30. Rytov S.M. Acoustical properties of a thinly layered medium. Phys Acoust. 2:1956;68-80.
31. Schoenberg M. Wave propagation in alternating solid and fluid layers. Wave Motion. 6:1984;303-320.
32. Schwartz L., Plona T.J. Ultrasonic Propagation in close-packed disordered suspensions. J Appl Phys. 55:1984;3971-3977.
33. Smith R.E. Ultrasonic elastic constants of carbon fibres and their composites. J Appl Phys. 43:1972;2555-2561.
34. Tavakoli M.B., Evans J.A. The effect of bone structure on ultrasonic attenuation and velocity. Phys Med Biol. 30:1992;389-395.
35. Truscott JG, Lightley D, Smith A, Smith MA. Reference ranges for speed of sound and broadband ultrasonic attenuation measured with a Lunar Achilles in 949 Caucasian women. Proceedings of the Bath Conference on Osteoporosis and Bone Mineral Measurement 1996, page 58.
36. Williams J.L. Ultrasonic wave propagation in cancellous and cortical bone predictions of some experimental results by Biot's theory . J Acoust Soc Am. 92:1992;1106-1112.
37. Wu J., Cubberley F. Measurements of velocity and attenuation of shear waves in bovine compact bone using ultrasonic spectroscopy. Ultrasound Med Biol. 23:1997;129-134.
38. Xu W., Kaufmann J.J. Diffraction correction methods for insertion ultrasound attenuation estimation. IEEE Trans Biomed Eng. 40:1993;563-570.